A matrix in the block Schwarz form and the stability of matrix polynomials
- 1 February 1978
- journal article
- research article
- Published by Taylor & Francis in International Journal of Control
- Vol. 27 (2) , 245-259
- https://doi.org/10.1080/00207177808922362
Abstract
A matrix which consists of block elements is established in the block Schwarz form via a linear transformation. The transformation matrix constructed by Chen and Chu is modified and extended for transforming the block companion form to the block Schwarz form. A sufficient condition is derived for determining the stability of a multivariable system whose characteristics are expressed by a matrix polynomial. The matrix polynomial may or may not be symmetric.Keywords
This publication has 11 references indexed in Scilit:
- Modelling multivariable systems with industrial specificationsInternational Journal of Control, 1976
- Schwarz matrix properties for continuous and discrete time systemsInternational Journal of Control, 1976
- On the inversion of matrix Routh arrayInternational Journal of Control, 1975
- Matrix continued fraction expansion and inversion by the generalized matrix Routh algorithmInternational Journal of Control, 1974
- A constructive method for finding the Schwarz form of a Hessenberg matrixIEEE Transactions on Automatic Control, 1974
- Similarity transformations involving the schwarz and companion matricesIEEE Transactions on Automatic Control, 1969
- On the transformation to Schwarz canonical formIEEE Transactions on Automatic Control, 1968
- A simplified proof of a transformation matrix relating to the companion matrix and Schwarz matrixIEEE Transactions on Automatic Control, 1968
- A matrix for evaluating Schwarz's formIEEE Transactions on Automatic Control, 1966
- Ein Verfahren zur Stabilitätsfrage bei Matrizen-EigenwertproblemenZeitschrift für angewandte Mathematik und Physik, 1956